Published 1983
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''Collapse onto scattering centre'' in quasipotential theory
Description
Quasipotential equation for the wave function in the impulse representation is investigated for the case of singular attractive potential U(r)=-lambda r-2. It is shown, that discrete energy spectrum in the nonrelativistic limit do not depend on an arbitrary constant and there appears no collapse onto scattering centre. These results are a consequence of self-adjointness of quasipotential operator in the impulse representation (''deficiency-index'' n=0) in the comparison with Lippmann-Schwinger operator (''deficiency-index'' n=1)
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15010839.pdf
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Additional details
Additional titles
- Original title (Russian)
- Падение на центр в квазипотенциальной теории
Publishing Information
- Imprint Pagination
- 14 p.
- Report number
- JINR-R--2-83-352
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 15010839
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; IMPULSE APPROXIMATION; LIPPMANN-SCHWINGER EQUATION; POTENTIALS; QUASIPOTENTIAL EQUATION; SCATTERING AMPLITUDES; SINGULARITY; STURM-LIOUVILLE EQUATION; WAVE FUNCTIONS; WKB APPROXIMATION
- Descriptors DEC
- AMPLITUDES; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; INTEGRAL EQUATIONS
Optional Information
- Notes
- 22 refs.; submitted to the journal Theor. Math. Phys.